Answer:
The product of [tex](x + 3)(2x -1)=2x^2+5x-3[/tex]
Step-by-step explanation:
Given : Two expressions (x + 3) and (2x – 1)
We have to find the product of given expression that is [tex](x + 3)(2x -1)[/tex]
Consider the given expression [tex](x + 3)(2x -1)[/tex]
Multiply each term of first bracket with each term of second bracket
[tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
we have,
[tex]=x\cdot \:2x+x\left(-1\right)+3\cdot \:2x+3\left(-1\right)[/tex]
Simplify, [tex]-(-a)=+a[/tex]
we have [tex]=2xx-1\cdot \:x+3\cdot \:2x-3\cdot \:1[/tex]
Simplify, we get,
[tex]=2x^2-x+6x-3[/tex]
Adding like terms, we have,
[tex]=2x^2+5x-3[/tex]
Thus, the product of [tex](x + 3)(2x -1)=2x^2+5x-3[/tex]
